In this work, a new two-dimensional analytic optics design method is presented that enables the coupling of
three ray sets with two lens profiles. This method is particularly promising for optical systems designed for wide
field of view and with clearly separated optical surfaces. However, this coupling can only be achieved if different
ray sets will use different portions of the second lens profile.
Based on a very basic example of a single thick lens, the Simultaneous Multiple Surfaces design method in two
dimensions (SMS2D) will help to provide a better understanding of the practical implications on the design
process by an increased lens thickness and a wider field of view. Fermat's principle is used to deduce a set of
functional differential equations fully describing the entire optical system. The transformation of these functional
differential equations into an algebraic linear system of equations allows the successive calculation of the Taylor
series coefficients up to an arbitrary order. The evaluation of the solution space reveals the wide range of possible
lens configurations covered by this analytic design method. Ray tracing analysis for calculated 20th order Taylor
polynomials demonstrate excellent performance and the versatility of this new analytical optics design concept.© (2012) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.